Home
Class 12
MATHS
"If "xy+y^(2)=tan x + y," then find "(dy...

`"If "xy+y^(2)=tan x + y," then find "(dy)/(dx).`

Text Solution

AI Generated Solution

To solve the equation \( xy + y^2 = \tan x + y \) for \(\frac{dy}{dx}\), we will use implicit differentiation. Here are the steps: ### Step 1: Differentiate both sides with respect to \(x\) We start with the equation: \[ xy + y^2 = \tan x + y \] ...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.1|7 Videos

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.2|38 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|25 Videos

  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos

Similar Questions

Explore conceptually related problems

y^(2)+xy=tan(x+y) then find (dy)/(dx)=?

"If "xy=e^((x-y))," then find "(dy)/(dx).

If y=x^(tan x)+(tan x)^(x) , then find (dy)/(dx)

If sec (x+y) = xy, then find (dy)/(dx)

"If "y=(tan x)^((tan x)^(tan x))," then find "(dy)/(dx).

xy=(x+y)^(2) then find (dy)/(dx)

If xy=e^((x-y)), then find (dy)/(dx)

If xy=e^(x-y), find (dy)/(dx)

If (x^(2)+y^(2))^(2)=xy, find (dy)/(dx)